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Finding the Fourth Proportional to 21,968.19, 30,311.36 and 13,018.47

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Solution

The fourth proportional to 21,968.19, 30,311.36 and 13,018.47 is: 17,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.19 : 30,311.36 = 13,018.47 : x
  2. Step 2: Convert to fraction form
    21,968.19/30,311.36 = 13,018.47/x
  3. Step 3: Cross multiply
    21,968.19x = 30,311.36 × 13,018.47
  4. Step 4: Simplify right side
    21,968.19x = 394,607,465.73
  5. Step 5: Solve for x
    x = 394,607,465.73/21,968.19
  6. Step 6: Final answer
    x = 17,962.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.